Arc AC = 88 degrees (half of angle B)
Arc AB = 110 degrees
Arc BC = 360 - 88 - 110 = 162
b = 1\2 arc BC = 1/2 (162) = 81 degrees
The square of the tangent is equal to the external part of the secent times the whole secant.
Use the Pythagorean theorem to find the length of the other chord segment which is 4. (It's a 3-4-5 right triangle.)
If two chords intersect in a circle, then the products of the measures of the segments of the chords are equal.